GCF of 5991/709, 9747/129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5991/709, 9747/129 i.e 3/91461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5991/709, 9747/129.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5991/709,9747/129?
Given fractions are 5991/709,9747/129
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5991/709,9747/129, numerators are 5991,9747
Denominators are 709,129
The GCF of 5991,9747 is 3 .
LCM of 709,129 is 91461.
The greatest common factor of 5991/709,9747/129 = [GCF of 5991,9747]/[LCM of 709,129]= 3/91461
Therefore, the GCF of 5991/709,9747/129 is 3/91461.
To find the highest common factor of 5991,9747, we have to find the factors of both numbers and list the highest common factor.
The factors of 5991 are 1, 3, 1997, 5991
The factors of 9747 are 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747
The HCF of 5991,9747 is 3.
Lets's calculate GCF of 5991,9747
| 3 | 5991, 9747 |
| 1997, 3249 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5991,9747 By Matching Biggest Common Factor Method
Now, list down the factors of 5991
:1,3,1997,5991
Now, list down the factors of 9747
:1,3,9,19,27,57,171,361,513,1083,3249,9747
Greatest Common Factor
We found the factors 5991,9747 . The biggest common factor number is the GCF number.
So the greatest common factor 5991,9747 is 3.
Lets's calculate LCM of 709,129
Given numbers has no common factors except 1. So, there LCM is their product i.e 91461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/91461
Therefore, the GCF of Fractions 5991/709,9747/129 is 3/91461
Least Common Multiple of 709,129 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 709,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,129) x common factors =1 x 1 = 1
LCM(709,129) = ( 709 × 129 ) / 1
LCM(709,129) = 91461 / 1
LCM(709,129) = 91461
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5991/709, 9747/129
1. What is the HCF of 5991,9747?
The HCF of 5991,9747 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5991/709, 9747/129?
Answer: GCF of Numerators as per given numbers 5991/709, 9747/129 is
GCF of Numerators i.e. for 5991,9747 is 3
LCM of denominators i.e. for 709,129 is 91461.
Thus, GCF of Fractions is 3/91461.Finally, GCF of Fractions for 5991/709, 9747/129 is 3/91461.